Search a number
-
+
1212011221000 = 235310943125799
BaseRepresentation
bin10001101000110001011…
…111111001000000001000
311021212102010221100122111
4101220301133321000020
5124324144333033000
62324442410432104
7153364524253036
oct21506137710010
94255363840574
101212011221000
11428013812218
12176a90132634
138a3a4b7aa78
1442939827556
15217d9425cba
hex11a317f9008

1212011221000 has 128 divisors (see below), whose sum is σ = 2868877440000. Its totient is φ = 479223648000.

The previous prime is 1212011220941. The next prime is 1212011221009. The reversal of 1212011221000 is 1221102121.

It is not an unprimeable number, because it can be changed into a prime (1212011221009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46966101 + ... + 46991899.

It is an arithmetic number, because the mean of its divisors is an integer number (22413105000).

Almost surely, 21212011221000 is an apocalyptic number.

1212011221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212011221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434438720000).

1212011221000 is an abundant number, since it is smaller than the sum of its proper divisors (1656866219000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1212011221000 is a wasteful number, since it uses less digits than its factorization.

1212011221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26360 (or 26346 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1212011221000 its reverse (1221102121), we get a palindrome (1213232323121).

The spelling of 1212011221000 in words is "one trillion, two hundred twelve billion, eleven million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 125 200 218 250 431 436 500 545 862 872 1000 1090 1724 2155 2180 2725 3448 4310 4360 5450 8620 10775 10900 13625 17240 21550 21800 25799 27250 43100 46979 51598 53875 54500 86200 93958 103196 107750 109000 128995 187916 206392 215500 234895 257990 375832 431000 469790 515980 644975 939580 1031960 1174475 1289950 1879160 2348950 2579900 2812091 3224875 4697900 5159800 5624182 5872375 6449750 9395800 11119369 11248364 11744750 12899500 14060455 22238738 22496728 23489500 25799000 28120910 44477476 46979000 55596845 56241820 70302275 88954952 111193690 112483640 140604550 222387380 277984225 281209100 351511375 444774760 555968450 562418200 703022750 1111936900 1212011221 1389921125 1406045500 2223873800 2424022442 2779842250 2812091000 4848044884 5559684500 6060056105 9696089768 11119369000 12120112210 24240224420 30300280525 48480448840 60600561050 121201122100 151501402625 242402244200 303002805250 606005610500 1212011221000